Thursday, April 14, 2011

TORQUE

SECOND POST

DEFINITION OF TORQUE
  • Tendency of an object to change or cause rotational motion.
  • The torque depends on F ( force ) applied and r ( distance between of the rotation axis and the point of the force ).In symbols :
                                                                       τ  : The torque.
                                                                       r  : The displacement from rotation axis to point of the force.
                                                                       F : The force.

  • We know F is equal to m ( mass ) multiple by a ( acceleration ).
                                                                      F = ma
  • Direction of torque :
                             = Positive if counterclockwise ( + )
                             = Negative if clockwise ( - )


QUESTION

At the figure, give two lever with the same length and force. But, the displacement from rotation axis to point of force is difference. Use the formula and find which of the lever can be applied for the wrench.


                          LEVER A                            LEVER B                                               

                           r     : 10 m                             r    : 6 m
                           F    : 5.6 N                           F    : 5.6 N

CALCULATION

        LEVER A                                LEVER B

           τ = Fr                                    τ = Fr
           τ = ( -5.6 ) ( 10 )                    τ = ( -5.6 ) ( 6 )
           τ = -56 Nm                            τ = -33.6 Nm
                             
  • The force is negative because the rotation is clock wise.

From the answer,we get that Lever A have large torque and Lever B have a smaller torque,so lever A better to be applied because it have a higher Torque.So,the force used to turn the lever is low. Torque can be change if the force ( F ) or displacement ( r ) transformed.The direction of rotation should also be checked whether clockwise or counter-clockwise.If the displacement ( r ) is given in units of cm, it must be converted to unit m, this is because SI Unit of torque is newton meter ( Nm).

  • Torque ( τ ) is a measure of the turning force ( F ).
  • Just as a force ( F ) is a push or a pull, a torque can be thought of as a twist.
  • Where force ( F ) tells us how hard we are pushing or pulling on something, torque ( τ ) indicates how hard we are twisting on it.
  • High Torque - Low Force
  • Low Torque - High Force

Thursday, February 24, 2011

DEFINATION MOMENT OF INERTIA

MOMENT OF INERTIA
( UPDATED )
  • A body's moment of inertia, ( I ), describes how its mass is distributed in relation to an axis of rotation.
  • The quantity in rotational motion that is analogous to th e inertia in linear motion is the moment of inertia. The moment of inertia of a rigid body is its resistance to a change in its state of rest or rotational motion. 

Rigrid body

  • Factors that affect the moment of inertia of a rigrid body are :-
  1. Mass of the body.
  2. Distribution of the mass,or shape of the body.
  3. The position of the axis of rotation.



                                              DEMO VIDEO MOMENT OF INERTIA



    APPLICATION:-

    QUESTION

    - Related to moment of inertia, discuss how to get a longer duration of a top. Why?


    ANSWER

    From the concept, if we want the longer duration of the top to spin. We need a high inertia ( I ) to maintain the top lap times. So, Top 2 is the suitable because the radius (r) from the point of the axis and mass (m) higher. Using the formula given, we can determine whether the value is high or low inertia ( I ).

                                               I = mr^2              m = mass of top
                                                                          r = radius from axis of top
                                                                      unit = kg m^2


    • Inertia ( I ) is the resistance of any physical object to a change in its state of motion or rest. It is proportional to an object's mass ( m ) and radius ( r ).

    Based on question, found the top with a high value of inertia ( I ) will rotate longer than the top has low of inertia ( I ). because of the mass ( m ) and radius ( r ) of a rotating object that affect the final value of inertia ( I ). Objects that have a high value of inertia is difficult to start the rotation, but when it rotates, it is difficult to stop. like the video above, a ruler who does not have a weight ( mass ) on the front earlier falls ( rotating ) from a ruler who has a weight ( mass ) at the front. This clearly states that the object is rotating with the inertia ( I ) is difficult to start the rotation, and when rotating, it is difficult to stop.

    Sunday, January 30, 2011

    Moment of Inertia

     Topic :- Application Moment of Inertia


    Group Members :-
    Ahmad Zarif Bin Iberahim                                                
    54136111159

    Nur Lokman Hakim Bin Kamarulzaman
    54136111114

    Muhammad Elman Bin Ramli
    54136111078

    Ahmad Firdaus Bin Kamarudin
    54136111022

    Class :- MDD 1